Solitary waves in nonautonomous nonlinear and dispersive systems: Nonautonomous solitons

Journal of Modern Optics

Volumn 57, Issue 14-15, 2010, Pages 1456-1472

  Serkin, V N ^a   Hasegawa, Akira ^b   Belyaeva, T L ^a  

^a Universidad Autonoma Del Estado de Mexico   (Mexico)

^b Universidad Autonoma Del Estado de Mexico ^*

Author keywords

dispersion and nonlinearity variations; nonautonomous solitons; nonlinear Schrodinger equation with linear and harmonic oscillator potentials; Satsuma Yajima breather

Indexed keywords

BOSE CONDENSATES; BOUND STATE; BREATHER DYNAMICS; DISPERSIVE SYSTEMS; EVOLUTION EQUATIONS; EXACT ANALYTICAL SOLUTIONS; EXTERNAL POTENTIAL; FUNDAMENTAL CONCEPTS; FUNDAMENTAL LAWS; HARMONIC OSCILLATOR POTENTIAL; MATTER WAVE SOLITONS; MATTER WAVES; NON-LINEARITY; NONAUTONOMOUS; NONLINEAR GUIDED WAVES; NONLINEAR SCHRODINGER EQUATIONS; NOVEL SOLITONS; NUMERICAL EXPERIMENTS; PHYSICAL SYSTEMS; PLASMA PHYSICS; SATSUMA-YAJIMA BREATHER; SCIENTIFIC STUDIES; SOLITARY WAVE;

CONTROL NONLINEARITIES; DISPERSION (WAVES); DYNAMICS; GUIDED ELECTROMAGNETIC WAVE PROPAGATION; HARMONIC ANALYSIS; NONLINEAR OPTICS; OSCILLATORS (ELECTRONIC); OSCILLATORS (MECHANICAL); QUANTUM OPTICS; SCHRODINGER EQUATION; SOLITONS; WAVE EQUATIONS; WAVEFORM ANALYSIS;

NONLINEAR EQUATIONS;

EID: 77956390141     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500341003624750     Document Type: Article

References (72)

1. Krumhansl, J.A. Phys. Today 1991, 44 (3), 33-38.
2. Zabusky, N.J. Chaos 2005, 15, 1-16.
3. Scott, A.C. The Nonlinear Universe; Springer: Berlin, Heidelberg, 2007.
4. Cornell, E.A.; Wieman, C.E. Rev. Mod. Phys. 2002, 74, 875-893.
5. Ketterle, W. Rev. Mod. Phys. 2002, 74, 1131-1151.
6. Pitaevskii, L.P.; Stringari, S. Bose-Einstein Condensation; Oxford University Press: Oxford, UK, 2003.
7. Pethick, C.J.; Smith, H. Bose-Einstein Condensation in Dilute Gases; Cambridge University Press: Cambridge, UK, 2004.
8. Haken, H. Synergetics: Introduction and Advanced Topics; Springer-Verlag: Berlin, 2004.
9. Narducci, L.M.; Abraham, N.B. Laser Physics and Laser Instabilities; World Scientific: Singapore, 1988.
10. Lugiato, L.A.; Mandel, P.; Narducci, L.M. Phys. Rev. A 1984, 29, 1438-1452.
11. Zabusky, N.J.; Kruskal, M.D. Phys. Rev. Lett. 1965, 15, 240-243.
12. Tappert, F.D.; Zabusky, N.J. Phys. Rev. Lett. 1971, 27, 1774-1777.
13. Chen, H.H.; Liu, C.S. Phys. Rev. Lett. 1976, 37, 693-697
14. Phys. Fluids 1978, 21, 377-380.
15. Gardner, C.S.; Greene, J.M.; Kruskal, M.D.; Miura, R.M. Phys. Rev. Lett. 1967, 19, 1095-1098.
16. Calogero, F.; Degasperis, A. Lett. Nuovo Cimento 1976, 16, 425-433;
17. ibid. 1976, 16, 434-438.
18. Serkin, V.N.; Hasegawa, A. Phys. Rev. Lett. 2000, 85, 4502-4505;
19. JETP Lett. 2000, 72, 89-92;
20. Serkin, V.N.; Belyaeva, T.L.; ibid. 2001, 74, 573-576;
21. Serkin, V.N.; Hasegawa, A. IEEE J. Select. Topics Quantum Electron. 2002, 8, 418-431; Serkin, V.N.; Hasegawa, A.; Belyaeva, T.L. Phys. Rev. Lett. 2004, 92, 199401.
22. Serkin, V.N.; Hasegawa, A.; Belyaeva, T.L. Phys. Rev. Lett. 2007, 98, 074102.
23. Zhao, D.; Luo, H.G.; Chai, H.Y. Phys. Lett. A 2008, 372, 5644-5650.
24. Zhao, D.; He, X.G.; Luo, H.G. Europ. Phys. J. D 2009, 53, 213-216.
25. Luo, H.G.; Zhao, D.; He, X.G. Phys. Rev. A 2009, 79, 063802.
26. He, X.G.; Zhao, D.; Li, L.; Luo, H.G. Phys. Rev. E 2009, 79, 056610.
27. Li, Q.Y.; Li, Z.D.; Wang, S.X.; Song, W.W.; Fu, G. Opt. Commun. 2009, 282, 1676-1680.
28. Zhao, X.; Li, L.; Xu, Z. Phys. Rev. A 2009, 79, 043827.
29. Avelar, A.T.; Bazeia, D.; Cardoso, W.B. Phys. Rev. E 2009, 79, 025602.
30. Li, L.; Zhao, X.; Xu, Z. Phys. Rev. A 2008, 78, 063833.
31. Ganapathy, R.; Porsezian, K.; Hasegawa, A.; Serkin, V.N. IEEE J. Quantum Electron. 2008, 44, 383-390.
32. Zhang, J.F.; Wu, L.; Li, L. Phys. Rev. A 2008, 78, 055801.
33. Wu, L.; Zhang, J.F.; Li, L.; Finot, C.; Porsezian, K. Phys. Rev. A 2008, 78, 053807.
34. Belic, M.; Petrovic, N.; Zhong, W.P.; Xie, R.H.; Chen, G. Phys. Rev. Lett. 2008, 101, 123904.
35. Hao, R.; Zhou, G. Opt. Commun. 2008, 281, 4474-4478.
36. Wang, J.; Li, L.; Jia, S. JOSA B 2008, 25, 1254-1260.
37. Wu, L.; Li, L.; Zhang, J.F. Phys. Rev. A 2008, 78, 013838.
38. Shin, H.J. J. Phys. A: Math. Theor. 2008, 41, 285201.
39. Wu, L.; Li, L.; Chen, G.; Tian, Q.; Zhang, J.F. New J. Phys. 2008, 10, 023021.
40. Hernandez-Tenorio, C.; Belyaeva, T.L.; Serkin, V.N. Physica B: Condens. Matter 2007, 398, 460-463.
41. Serkin, V.N.; Belyaeva, T.L. Quantum Electron. 2001, 31, 1007-1015.
42. Atre, R.; Panigrahi, P.K.; Agarwal, G.S. Phys. Rev. E 2006, 73, 056611.
43. Liu, W.J.; Tian, B.; Zhang, H.Q. Phys. Rev. E 2008, 78, 066613.
44. Chen, S.; Yang, Y.H.; Yi, L.; Lu, P.; Guo, D.S. Phys. Rev. E 2007, 75, 036617.
45. Xu, T.; Zhang, C.Y.; Wei, G.M.; Li, J.; Meng, X.H.; Tian, B. Europ. Phys. J. 2007, B55, 323-332.
46. Wang, F.; Yan, X.; Wang, D.; Ding, J. Mod. Phys. Lett. B 2009, 23, 2311-2319.
47. Hernandez, T.C.; Villagran, V.E.; Serkin, V.N.; Aguero, G.M.; Belyaeva, T.L.; Pena, R.M.; Morales, L.L. Quantum Electron. 2005, 35, 778-786;
48. ibid. 2005, 35, 929-938.
49. Hasegawa, A.; Kodama, Y. Solitons. Optical Communications; Oxford University Press: New York, 1995;
50. Hasegawa, A.; Matsumoto, M. Optical Solitons in Fibers; Springer-Verlag: Berlin, 2003.
51. Dianov, E.M.; Mamyshev, P.V.; Prokhorov, A.M.; Serkin, V.N. Nonlinear Effects in Fibers; Harwood Academic: New York, 1989.
52. Taylor, J.R., Ed., Optical Solitons - Theory and Experiment; Cambridge University Press: Cambridge, UK, 1992;
53. Dudley, J.M.; Taylor, J.R., Eds. Optical Fiber Supercontinuum Generation; Cambridge University Press: Cambridge, UK, 2010.
54. Agrawal, G.P. Nonlinear Fiber Optics, 3rd ed.; Academic Press: San Diego, 2001;
55. Agrawal, G.P. Applications of Nonlinear Fiber-Optics; Academic Press: San Diego, 2001.
56. Akhmediev, N.N.; Ankiewicz, A. Solitons. Nonlinear Pulses and Beams; Charman and Hall: London, 1997.
57. Lax, P.D. Commun. Pure Applied Math. 1968, XXI, 467-490.
58. Ablowitz, M.J.; Segur, H. Solitons and Inverse Scattering Transform; SIAM: Philadelphia, 1981.
59. Dianov, E.M.; Karasik, A.Ya.; Mamyshev, P.V.; Prokhorov, A.M.; Serkin, V.N.; Stel'makh, M.F.; Fomichev, A.A. JETP Lett. 1985, 41, 294-297;
60. Mitschke, F.M.; Mollenauer, L.F. Opt. Lett. 1986, 11, 659-661.
61. Reeves-Hall, P.C.; Taylor, J.R. Electron. Lett. 2001, 37, 417-419;
62. Reeves-Hall, P.C.; Lewis, S.A.E.; Chernikov, S.V.; Taylor, J.R.; ibid. 2000, 36, 622-624.
63. Satsuma, J.; Yajima, N. Prog. Theor. Phys. (Japan), Suppl. 1974, 55, 284-306.
64. Mollenauer, L.F.; Stolen, R.G.; Gordon, J.R. Phys. Rev. Lett. 1980, 45, 1095-1097.
65. Serkin, V.N. Sov. Tech. Phys. Lett. 1987, 13, 320-323.
66. Ponomarenko, S.A.; Agrawal, G.P. Phys. Rev. Lett. 2006, 97, 013901;
67. Opt. Lett. 2007, 32 1659-1661;
68. Opt. Express 2007, 15 2963-2973.
69. Travers, J.C.; Stone, J.M.; Rulkov, A.B.; Cumberland, B.A.; George, A.K.; Popov, S.V.; Knight, J.C.; Taylor, J.R. Opt. Express 2007, 15, 13203-13211.
70. Serkin, V.N.; Hasegawa, A.; Belyaeva, T.L. Phys. Rev. A 2010, 81, 003600.
71. Kovachev, L.M. J. Mod. Opt. 2008, 55, 2975-2891;
72. J. Mod. Opt. 2009, 56, 1797-1803.